Answer :
To round the given numbers to 3 significant figures, we need to ensure that only the first three digits of each number are significant, and we use appropriate rounding rules to adjust the digits accordingly. Let's go through each number one by one.
### Number 1: 2359
1. Identify the first three significant digits: 2, 3, and 5.
2. Examine the fourth digit, which is 9. Since it is greater than or equal to 5, we round the third digit up.
3. The third digit (5) rounded up becomes 6. Thus, 2359 rounded to 3 significant figures is 2360.
### Number 2: 0.050091
1. Identify the first three significant digits: 0, 5, and 0. We need another digit since the leading zeros are not significant. The fourth digit is 0, so we include it in our significant digits, extending to the fourth non-zero digit if necessary.
2. Examine the fifth digit, which is 9. Since 9 is greater than or equal to 5, we round the fourth significant digit up.
3. The third digit (which in this case starts as 9 if zeroes are excluded) remains 0, but affects the higher place value to become 1. Thus, 0.050091 rounded to 3 significant figures is 0.0501.
### Number 3: 1.2305
1. Identify the first three significant digits: 1, 2, and 3.
2. Examine the fourth digit, which is 0. Since it is less than 5, we do not need to round up the third digit.
3. Thus, 1.2305 rounded to 3 significant figures is 1.23.
### Number 4: 893256
1. Identify the first three significant digits: 8, 9, and 3.
2. Examine the fourth digit, which is 2. Since it is less than 5, we do not need to round up the third digit.
3. To maintain the significance, we replace subsequent digits with zeros to keep the value near its original order of magnitude. Thus, 893256 rounded to 3 significant figures is 893000.
In summary, the rounded values of the given numbers to 3 significant figures are:
- 2359 rounded to 3 significant figures is 2360
- 0.050091 rounded to 3 significant figures is 0.0501
- 1.2305 rounded to 3 significant figures is 1.23
- 893256 rounded to 3 significant figures is 893000
### Number 1: 2359
1. Identify the first three significant digits: 2, 3, and 5.
2. Examine the fourth digit, which is 9. Since it is greater than or equal to 5, we round the third digit up.
3. The third digit (5) rounded up becomes 6. Thus, 2359 rounded to 3 significant figures is 2360.
### Number 2: 0.050091
1. Identify the first three significant digits: 0, 5, and 0. We need another digit since the leading zeros are not significant. The fourth digit is 0, so we include it in our significant digits, extending to the fourth non-zero digit if necessary.
2. Examine the fifth digit, which is 9. Since 9 is greater than or equal to 5, we round the fourth significant digit up.
3. The third digit (which in this case starts as 9 if zeroes are excluded) remains 0, but affects the higher place value to become 1. Thus, 0.050091 rounded to 3 significant figures is 0.0501.
### Number 3: 1.2305
1. Identify the first three significant digits: 1, 2, and 3.
2. Examine the fourth digit, which is 0. Since it is less than 5, we do not need to round up the third digit.
3. Thus, 1.2305 rounded to 3 significant figures is 1.23.
### Number 4: 893256
1. Identify the first three significant digits: 8, 9, and 3.
2. Examine the fourth digit, which is 2. Since it is less than 5, we do not need to round up the third digit.
3. To maintain the significance, we replace subsequent digits with zeros to keep the value near its original order of magnitude. Thus, 893256 rounded to 3 significant figures is 893000.
In summary, the rounded values of the given numbers to 3 significant figures are:
- 2359 rounded to 3 significant figures is 2360
- 0.050091 rounded to 3 significant figures is 0.0501
- 1.2305 rounded to 3 significant figures is 1.23
- 893256 rounded to 3 significant figures is 893000
